Math CentralQuandaries & Queries


Question from Ria, a teacher:

A student of me is working on a paper about soccer and math/physics. He wants to calculate the volume of the ball, which is composed of 5- and 6-sided pyramids. We are looking after a formula to express the volume of these pyramids in function of the radius of the ball (and if possible how we can derive this formula). Afterwards we'll try to calculate the difference with the volume of a sphere with radius r. Hope you can help us! thanks a lot.


The Math Forum at Drexel University has a full explanation of deriving the volume of the Truncated Icosahedron, which is the formal name for the shape of a soccer ball.

You can read it here.


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